Journal of Inequalities and Applications, ISSN 1025-5834, 12/2016, Volume 2016, Issue 1, pp. 1 - 10

In this paper, we study the complete convergence and complete moment convergence for negatively associated sequences of random variables with E X = 0...

complete convergence | complete moment convergence | Analysis | Mathematics, general | negatively associated random variables | Mathematics | Applications of Mathematics | 60F15 | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | Texts | Theorems | Random variables | Formulas (mathematics) | Inequalities | Convergence

complete convergence | complete moment convergence | Analysis | Mathematics, general | negatively associated random variables | Mathematics | Applications of Mathematics | 60F15 | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | Texts | Theorems | Random variables | Formulas (mathematics) | Inequalities | Convergence

Journal Article

FILOMAT, ISSN 0354-5180, 2019, Volume 33, Issue 1, pp. 81 - 92

In this article, the authors investigate the complete convergence and complete moment convergence of the maximum partial sums for arrays of rowwise...

MATHEMATICS | MATHEMATICS, APPLIED | complete convergence | LARGE NUMBERS | complete moment convergence | PARTIAL-SUMS | STRONG LAW | arrays of rowwise asymptotically almost negatively associated random variables | AANA

MATHEMATICS | MATHEMATICS, APPLIED | complete convergence | LARGE NUMBERS | complete moment convergence | PARTIAL-SUMS | STRONG LAW | arrays of rowwise asymptotically almost negatively associated random variables | AANA

Journal Article

3.
Full Text
Moment inequalities for m-negatively associated random variables and their applications

Statistical Papers, ISSN 0932-5026, 9/2017, Volume 58, Issue 3, pp. 911 - 928

The moment inequalities for m-NA random variables, especially the Marcinkiewicz–Zygmund type inequality and Rosenthal type inequality are established and the...

62J02 | 62J05 | Economic Theory/Quantitative Economics/Mathematical Methods | m -Negatively associated random variables | Marcinkiewicz–Zygmund type inequality | Probability Theory and Stochastic Processes | Statistics | Rosenthal type inequality | Multiple linear regression models | Statistics for Business/Economics/Mathematical Finance/Insurance | Operations Research/Decision Theory | 62F12 | Nonlinear regression models | 60E05 | 60F15 | m-Negatively associated random variables | DEPENDENT RANDOM-VARIABLES | COMPLETE CONVERGENCE | CONSISTENCY | Marcinkiewicz-Zygmund type inequality | STATISTICS & PROBABILITY | REGRESSION-MODEL | LEAST-SQUARES ESTIMATOR | ARRAYS | Economic models | Theorems | Least squares method | Inequalities | Mathematical models | Regression analysis | Random variables

62J02 | 62J05 | Economic Theory/Quantitative Economics/Mathematical Methods | m -Negatively associated random variables | Marcinkiewicz–Zygmund type inequality | Probability Theory and Stochastic Processes | Statistics | Rosenthal type inequality | Multiple linear regression models | Statistics for Business/Economics/Mathematical Finance/Insurance | Operations Research/Decision Theory | 62F12 | Nonlinear regression models | 60E05 | 60F15 | m-Negatively associated random variables | DEPENDENT RANDOM-VARIABLES | COMPLETE CONVERGENCE | CONSISTENCY | Marcinkiewicz-Zygmund type inequality | STATISTICS & PROBABILITY | REGRESSION-MODEL | LEAST-SQUARES ESTIMATOR | ARRAYS | Economic models | Theorems | Least squares method | Inequalities | Mathematical models | Regression analysis | Random variables

Journal Article

CHINESE ANNALS OF MATHEMATICS SERIES B, ISSN 0252-9599, 01/2019, Volume 40, Issue 1, pp. 117 - 130

In this paper, the authors generalize the concept of asymptotically almost negatively associated random variables from the classic probability space to the...

MATHEMATICS | Upper expectations | G-BROWNIAN MOTION | LARGE NUMBERS | Asymptotically almost negatively associated | Strong law of large numbers | Rosenthal's inequalities | STOCHASTIC CALCULUS | STRONG LAW | SUB-LINEAR EXPECTATIONS | CENTRAL-LIMIT-THEOREM | SUMS

MATHEMATICS | Upper expectations | G-BROWNIAN MOTION | LARGE NUMBERS | Asymptotically almost negatively associated | Strong law of large numbers | Rosenthal's inequalities | STOCHASTIC CALCULUS | STRONG LAW | SUB-LINEAR EXPECTATIONS | CENTRAL-LIMIT-THEOREM | SUMS

Journal Article

Statistics and Probability Letters, ISSN 0167-7152, 09/2014, Volume 92, pp. 45 - 52

Let {Xn,n≥1} be a sequence of identically distributed negatively associated random variables and let {ani,1≤i≤n,n≥1} be an array of constants satisfying...

Complete convergence | Strong law of large numbers | Negatively associated random variables | Weighted sums | STATISTICS & PROBABILITY | STRONG LAWS

Complete convergence | Strong law of large numbers | Negatively associated random variables | Weighted sums | STATISTICS & PROBABILITY | STRONG LAWS

Journal Article

Lobachevskii Journal of Mathematics, ISSN 1995-0802, 1/2012, Volume 33, Issue 1, pp. 47 - 55

In this note we show how Chebyshev’s other inequality can be applied to construct negatively associated random variables and to lead to a simplification of...

Geometry | Negatively dependent random variables | Algebra | Analysis | Negatively associated randomvariables | Chebyshev’s other inequality | Probability Theory and Stochastic Processes | Mathematics, general | Mathematics | Mathematical Logic and Foundations | Chebyshev's other inequality | Universities and colleges

Geometry | Negatively dependent random variables | Algebra | Analysis | Negatively associated randomvariables | Chebyshev’s other inequality | Probability Theory and Stochastic Processes | Mathematics, general | Mathematics | Mathematical Logic and Foundations | Chebyshev's other inequality | Universities and colleges

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2011, Volume 381, Issue 2, pp. 538 - 545

A number of exponential inequalities for identically distributed negatively dependent and negatively associated random variables have been established by many...

Convergence rate | Negatively dependent random variables | Almost sure convergence | Negatively associated random variables | Exponential inequality | MATHEMATICS | MATHEMATICS, APPLIED | STRICTLY STATIONARY | STRONG LAW | ASSOCIATION

Convergence rate | Negatively dependent random variables | Almost sure convergence | Negatively associated random variables | Exponential inequality | MATHEMATICS | MATHEMATICS, APPLIED | STRICTLY STATIONARY | STRONG LAW | ASSOCIATION

Journal Article

Proceedings - Mathematical Sciences, ISSN 0253-4142, 8/2014, Volume 124, Issue 3, pp. 447 - 456

Let {X n , n ≥ 1} be a sequence of negatively associated random variables. The aim of this paper is to establish some limit theorems of negatively associated...

order statistics | Marcinkiewicz–Zygmund strong law of large numbers | Mathematics, general | Mathematics | L p -convergence | Negatively associated random variables | 60F15 | Marcinkiewicz-zygmund strong law of large numbers | Order statistics | DEPENDENT RANDOM-VARIABLES | MATHEMATICS | MOMENT INEQUALITIES | L-p-convergence | LAW | Marcinkiewicz-Zygmund strong law of large numbers | CONVERGENCE | SUMS | Analysis | Limit theorems (Probability theory) | Random variables

order statistics | Marcinkiewicz–Zygmund strong law of large numbers | Mathematics, general | Mathematics | L p -convergence | Negatively associated random variables | 60F15 | Marcinkiewicz-zygmund strong law of large numbers | Order statistics | DEPENDENT RANDOM-VARIABLES | MATHEMATICS | MOMENT INEQUALITIES | L-p-convergence | LAW | Marcinkiewicz-Zygmund strong law of large numbers | CONVERGENCE | SUMS | Analysis | Limit theorems (Probability theory) | Random variables

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2013, Volume 2013, Issue 1, pp. 1 - 11

In the paper, we study the strong law of large numbers for general weighted sums of asymptotically almost negatively associated random variables (AANA, in...

weighted sums | the three series theorem | asymptotically almost negatively associated random variables | Marcinkiewicz strong law of large numbers | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | MATHEMATICS | MATHEMATICS, APPLIED | AANA | Law | Random variables | Asymptotic properties | Laws | Inequalities | Sums

weighted sums | the three series theorem | asymptotically almost negatively associated random variables | Marcinkiewicz strong law of large numbers | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | MATHEMATICS | MATHEMATICS, APPLIED | AANA | Law | Random variables | Asymptotic properties | Laws | Inequalities | Sums

Journal Article

Lobachevskii Journal of Mathematics, ISSN 1995-0802, 04/2018, Volume 39, Issue 3, pp. 331 - 339

To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1134/S1995080218030137 In this...

relative weak compactness | Pair-wise negatively associated random variables

relative weak compactness | Pair-wise negatively associated random variables

Journal Article

Journal of Theoretical Probability, ISSN 0894-9840, 12/2008, Volume 21, Issue 4, pp. 890 - 909

In this paper, we establish strong laws for weighted sums of identically distributed negatively associated random variables. Marcinkiewicz-Zygmund’s strong law...

Negatively associated random variable | Complete convergence | Strong law | Cesàro mean | Probability Theory and Stochastic Processes | Mathematics | Statistics, general | Weighted sum | 60F15 | LARGE NUMBERS | STATISTICS & PROBABILITY | negatively associated random variable | weighted sum | DEPENDENCE | MOMENT INEQUALITIES | MARCINKIEWICZ | Cesaro mean | strong law | complete convergence | IID RANDOM-VARIABLES | DISTRIBUTED RANDOM-VARIABLES | SUMMABILITY METHODS | SURE CONVERGENCE | INDEPENDENT RANDOM-VARIABLES

Negatively associated random variable | Complete convergence | Strong law | Cesàro mean | Probability Theory and Stochastic Processes | Mathematics | Statistics, general | Weighted sum | 60F15 | LARGE NUMBERS | STATISTICS & PROBABILITY | negatively associated random variable | weighted sum | DEPENDENCE | MOMENT INEQUALITIES | MARCINKIEWICZ | Cesaro mean | strong law | complete convergence | IID RANDOM-VARIABLES | DISTRIBUTED RANDOM-VARIABLES | SUMMABILITY METHODS | SURE CONVERGENCE | INDEPENDENT RANDOM-VARIABLES

Journal Article

Filomat, ISSN 0354-5180, 1/2017, Volume 31, Issue 5, pp. 1413 - 1422

Let 𝑋,𝑋₁,𝑋₂, . . . be a stationary sequence of negatively associated random variables. A universal result in almost sure central limit theorem for the...

Partial sums | Central limit theorem | Random variables | Self-normalized partial sums | Almost sure central limit theorem | Negatively associated random variables | MATHEMATICS | MATHEMATICS, APPLIED | WEAK-CONVERGENCE

Partial sums | Central limit theorem | Random variables | Self-normalized partial sums | Almost sure central limit theorem | Negatively associated random variables | MATHEMATICS | MATHEMATICS, APPLIED | WEAK-CONVERGENCE

Journal Article

13.
Full Text
Exponential inequalities for N-demimartingales and negatively associated random variables

Statistics and Probability Letters, ISSN 0167-7152, 2009, Volume 79, Issue 19, pp. 2060 - 2065

The class of N-demimartingales generalizes in a natural way the concept of negative association and includes as special cases martingales with respect to the...

STATISTICS & PROBABILITY

STATISTICS & PROBABILITY

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 12/2015, Volume 65, Issue 6, pp. 1557 - 1570

In the paper, several precise exponential inequalities for the sums of bounded or semi-bounded random variables are established, which involve independent...

negatively associated | bounded random variables | martingale difference sequence | exponential inequalities | Markov chians | MARTINGALES | MATHEMATICS | THEOREM | SUMS | DEPENDENCE | Markov processes | Inequalities (Mathematics) | Research | Random variables | Mathematical research

negatively associated | bounded random variables | martingale difference sequence | exponential inequalities | Markov chians | MARTINGALES | MATHEMATICS | THEOREM | SUMS | DEPENDENCE | Markov processes | Inequalities (Mathematics) | Research | Random variables | Mathematical research

Journal Article

Acta Mathematica Hungarica, ISSN 0236-5294, 7/2010, Volume 128, Issue 1, pp. 116 - 130

We present a generalization of Baum-Katz theorem for negatively associated random variables satisfying some cover condition.

Mathematics, general | Mathematics | negatively associated random variable | complete convergence | regular cover | 60F15 | Complete convergence | Negatively associated random variable | Regular cover | MATHEMATICS | LARGE NUMBERS | LAW | INDEPENDENT RANDOM-VARIABLES

Mathematics, general | Mathematics | negatively associated random variable | complete convergence | regular cover | 60F15 | Complete convergence | Negatively associated random variable | Regular cover | MATHEMATICS | LARGE NUMBERS | LAW | INDEPENDENT RANDOM-VARIABLES

Journal Article

Statistical Papers, ISSN 0932-5026, 5/2011, Volume 52, Issue 2, pp. 447 - 454

A strong convergence result is obtained for weighted sums of identically distributed negatively associated random variables which have a suitable moment...

62G05 | Negatively associated random variable | Strong convergence | Complete convergence | Statistics for Business/Economics/Mathematical Finance/Insurance | Operations Research/Decision Theory | Economic Theory | Probability Theory and Stochastic Processes | Weighted sum | Statistics | 60F15 | STATISTICS & PROBABILITY | STRONG LAWS | Studies | Statistical analysis | Random variables | Normal distribution | Paper | Convergence | Sums

62G05 | Negatively associated random variable | Strong convergence | Complete convergence | Statistics for Business/Economics/Mathematical Finance/Insurance | Operations Research/Decision Theory | Economic Theory | Probability Theory and Stochastic Processes | Weighted sum | Statistics | 60F15 | STATISTICS & PROBABILITY | STRONG LAWS | Studies | Statistical analysis | Random variables | Normal distribution | Paper | Convergence | Sums

Journal Article

Stochastic Analysis and Applications, ISSN 0736-2994, 03/2015, Volume 33, Issue 2, pp. 259 - 270

In this article, we define the conditional convex order, that is, a stochastic ordering between random variables given a sub-σ-algebra F. For the conditional...

ℱ-independent random variables | Conditional N-demimartingales | Convex order | ℱ-associated random variables | Conditionally negatively associated random variables | Conditional demimartingales | MATHEMATICS, APPLIED | F-associated random variables | STOCHASTIC ORDER | F-independent random variables | STATISTICS & PROBABILITY | RANDOM-VARIABLES | Theorems | Random variables | Stochasticity | Order disorder | Inequalities | Images

ℱ-independent random variables | Conditional N-demimartingales | Convex order | ℱ-associated random variables | Conditionally negatively associated random variables | Conditional demimartingales | MATHEMATICS, APPLIED | F-associated random variables | STOCHASTIC ORDER | F-independent random variables | STATISTICS & PROBABILITY | RANDOM-VARIABLES | Theorems | Random variables | Stochasticity | Order disorder | Inequalities | Images

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2015, Volume 2015, Issue 1, pp. 1 - 14

The authors study the complete convergence and the complete moment convergence for weighted sums of m-negatively associated (m-NA) random variables and obtain...

62G05 | weighted sums | complete convergence | complete moment convergence | Analysis | m -negatively associated random variable | Mathematics, general | Mathematics | Applications of Mathematics | 60F15 | m-negatively associated random variable | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | STRONG LAWS | ARRAYS | Theorems | Random variables | Inequalities | Convergence | Sums

62G05 | weighted sums | complete convergence | complete moment convergence | Analysis | m -negatively associated random variable | Mathematics, general | Mathematics | Applications of Mathematics | 60F15 | m-negatively associated random variable | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | STRONG LAWS | ARRAYS | Theorems | Random variables | Inequalities | Convergence | Sums

Journal Article

Acta Mathematica Hungarica, ISSN 0236-5294, 10/2014, Volume 144, Issue 1, pp. 132 - 149

We develop the Baum–Katz theorem for sequences of coordinatewise negatively associated random vectors in Hilbert spaces. We also show that the concept of...

complete convergence | 60B12 | Mathematics, general | Mathematics | Hilbert space | Baum–Katz theorem | coordinatewise negatively associated random vector | 60F15 | DEPENDENT RANDOM-VARIABLES | MATHEMATICS | LAW | Baum-Katz theorem | SURE CONVERGENCE | CONVERGENCE-RATES | SUMS

complete convergence | 60B12 | Mathematics, general | Mathematics | Hilbert space | Baum–Katz theorem | coordinatewise negatively associated random vector | 60F15 | DEPENDENT RANDOM-VARIABLES | MATHEMATICS | LAW | Baum-Katz theorem | SURE CONVERGENCE | CONVERGENCE-RATES | SUMS

Journal Article

Bulletin of the Belgian Mathematical Society - Simon Stevin, ISSN 1370-1444, 03/2015, Volume 22, Issue 1, pp. 77 - 88

In this paper, we establish an exponential inequality for negatively associated random variables, which improves known results. These results concern in...

Exponential inequalities | Negatively associated | MATHEMATICS | MOMENT INEQUALITIES | CONVERGENCE | exponential inequalities | DEPENDENCE | SUMS | Inequalities (Mathematics) | Research | Random variables | Mathematical research | 62G20 | 60F15

Exponential inequalities | Negatively associated | MATHEMATICS | MOMENT INEQUALITIES | CONVERGENCE | exponential inequalities | DEPENDENCE | SUMS | Inequalities (Mathematics) | Research | Random variables | Mathematical research | 62G20 | 60F15

Journal Article

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